The ASRock B450M Pro4-F supports the Ryzen 3 2200G processor in ALL BIOS versions, no update or "backdate" is required.
https://www.asrock.com/mb/AMD/B450M%20Pro4-F/#CPU
If there is no display output you have a different problem, it's not the BIOS version.
Ryzen R7 5700X | B550 Gaming X | 2x16GB G.Skill 3600 | Radeon RX 7900XT
Ryzen R7 5700G | B550 Gaming X | 2x8GB G.Skill 4000 | Radeon Vega 8 IGP
Ryzen R5 5600 | B550 Gaming Edge | 4x8GB G.Skill 3600 | Radeon RX 6800XT